To my best knowledge, it does not support oauth flow out of the box. This is also where we built some custom tooling around hurl.

It seems reasonable to not support all the different auth schemes though. There are so many implementation quirks that it would be a huge burden to do that as part of the hurl project

It doesn't support that out of the box, but you you can specify or capture values for variables like tokens in the hurl tests.

https://hurl.dev/docs/manual.html#variable

https://hurl.dev/docs/capturing-response.html